{ "id": "0811.3177", "version": "v5", "published": "2008-11-19T19:13:12.000Z", "updated": "2009-12-08T07:24:43.000Z", "title": "Theory versus experiment for vacuum Rabi oscillations in lossy cavities", "authors": [ "Marcin Wilczewski", "Marek Czachor" ], "comment": "typo in eq. (60) corrected; (older comments: 14 figures (1 added), value of Q improved, a section on the Peres-Horodecki test of separability added, various small improvements; v3 includes discussion of finite time resolution, v4 includes microscopic derivation of the master equation)", "journal": "Phys. Rev. A 79, 033836 (2009)", "doi": "10.1103/PhysRevA.79.033836", "categories": [ "quant-ph" ], "abstract": "The 1996 Brune {\\it et al.} experiment on vacuum Rabi oscillation is analyzed by means of alternative models of atom-reservoir interaction. Agreement with experimental Rabi oscillation data can be obtained if one defines jump operators in the dressed-state basis, and takes into account thermal fluctuations between dressed states belonging to the same manifold. Such low-frequency transitions could be ignored in a closed cavity, but the cavity employed in the experiment was open, which justifies our assumption. The cavity quality factor corresponding to the data is $Q=3.31\\cdot 10^{10}$, whereas $Q$ reported in the experiment was $Q=7\\cdot 10^7$. The rate of decoherence arising from opening of the cavity can be of the same order as an analogous correction coming from finite time resolution $\\Delta t$ (formally equivalent to collisional decoherence). Peres-Horodecki separability criterion shows that the rate at which the atom-field state approaches a separable state is controlled by fluctuations between dressed states from the same manifold, and not by the rate of transitions towards the ground state. In consequence, improving the $Q$ factor we do not improve the coherence properties of the cavity.", "revisions": [ { "version": "v5", "updated": "2009-12-08T07:24:43.000Z" } ], "analyses": { "subjects": [ "42.50.Pq", "42.50.Lc", "42.50.Dv", "32.80.Ee" ], "keywords": [ "vacuum rabi oscillation", "lossy cavities", "experimental rabi oscillation data", "dressed states", "account thermal fluctuations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2009, "month": "Mar", "volume": 79, "number": 3, "pages": "033836" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvA..79c3836W" } } }